Journal
IEEE JOURNAL OF QUANTUM ELECTRONICS
Volume 38, Issue 7, Pages 850-856Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JQE.2002.1017597
Keywords
FDTD methods; Fourier transforms; integrated optics; optical resonators; optics; optoelectronic devices; Q factor
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We express the quality factor of a mode in terms of the Fourier transforms of its field components and prove that the reduction in radiation loss can be achieved by suppressing the mode's wavevector components within the light cone. Although this is intuitively clear, our analytical proof gives us insight into how to achieve the Q factor optimization, without the mode delocalization. We focus on the dipole defect mode in free-standing membranes and achieve Q > 10(4), while preserving the mode volume of the order of one half of the cubic wavelength of light in the material. The derived expressions and conclusions can be used in the optimization of the Q factor for any type of defect in planar photonic crystals.
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